E. Coli is a type of bacterium. Its concentration, P parts per million (PPM), is of interest to scientists at a particular beach. Over a 12 hour period, t hours after 6 am, they found that the PPM could be described by the following function: P(t) = 0.1 +0.05 sin 15t where t is in hours. (a) Find the maximum and minimum E. Coli levels at this beach. (b) What is the level at 3 pm?

Answer:

The original price drops by 15%.

Step-by-step explanation:

What was the drop in price?  To answer that, subtract $21.25 from $25, which results in $3.75.

Now compare $3.75 to the original price, $25, through division, as follows:

   $3.75

-------------- * 100% = 15%

     $25

The original price drops by 15%.

Answer:

52%

Step-by-step explanation:

you got to divide 15 by 785. First 15 goes into 78 5 times which is 75. Then subtract 78 by 75 which is 3. Then bring down the 5 which makes 35 and then 15 goes into 35 two times which is 30 subtract 35 by 30 which is 5 bring up the 5 into a fraction and the ansewer in percentage is  52%.

Answer:Therefore, the range is 32 and the standard deviation is approximately 10.523 for the given data set.

Step-by-step explanation:To calculate the range and standard deviation for the given data set {40, 65, 33, 46, 55, 50, 61}, we can follow these steps:

Step 1: Find the range.

The range is calculated by subtracting the minimum value from the maximum value in the data set.

Range = Maximum value - Minimum value

Range = 65 - 33

Range = 32

Step 2: Calculate the mean.

The mean is calculated by summing up all the values in the data set and dividing by the total number of values.

Mean = (40 + 65 + 33 + 46 + 55 + 50 + 61) / 7

Mean = 350 / 7

Mean = 50

Step 3: Calculate the deviation for each value.

Deviation is calculated by subtracting the mean from each value in the data set.

Deviation for 40 = 40 - 50 = -10

Deviation for 65 = 65 - 50 = 15

Deviation for 33 = 33 - 50 = -17

Deviation for 46 = 46 - 50 = -4

Deviation for 55 = 55 - 50 = 5

Deviation for 50 = 50 - 50 = 0

Deviation for 61 = 61 - 50 = 11

Step 4: Square each deviation.

Squared deviation for -10 = (-10)^2 = 100

Squared deviation for 15 = 15^2 = 225

Squared deviation for -17 = (-17)^2 = 289

Squared deviation for -4 = (-4)^2 = 16

Squared deviation for 5 = 5^2 = 25

Squared deviation for 0 = 0^2 = 0

Squared deviation for 11 = 11^2 = 121

Step 5: Calculate the variance.

Variance is calculated by summing up all the squared deviations and dividing by the total number of values.

Variance = (100 + 225 + 289 + 16 + 25 + 0 + 121) / 7

Variance = 776 / 7

Variance ≈ 110.857

Step 6: Calculate the standard deviation.

The standard deviation is the square root of the variance.

Standard Deviation ≈ √110.857

Standard Deviation ≈ 10.523

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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Answer:

Step-by-step explanation:

hope this helps

Answer:

\(96ft^{2}\)

Step-by-step explanation:

Step 1: Find the area of the base

\(\frac{bh}{2} =\frac{(8)(6)}{2}=\frac{48}{2}=24ft^{2}\)

Step 2: Find volume

\(=\frac{1}{3}(24)(12) \\=\frac{1}{3}(288)\\=96ft^{3}\)

Fot the above LP problem, the optimal solution is x1 = 20 and x2 = 40..

From the question above,  LP problem:

Maximize Z = 1x + 1x2

Subject to:

2x + 1x2 ≤ 60 ............... (C1)

x1 + 2x2 ≤ 60 ............... (C2)

x1 ≤ 20 ............................ (C3)

x1 ≥ 0, x2 ≥ 0

On the graph on right, constraints C1 and C2 have been plotted:

x1 + 2x2 = 560 (2)

The x1 and x2 intercepts of the lines are found by setting x1 = 0 and x2 = 0.

C1: 2x + 1x2 = 600x2 = 60x2 = 60/1x2 = 60

C2: x1 + 2x2 = 60x1 = 60 - 2x260 - 2x2 = 0x2 = 30, x1 = 0x2 intercepts: (0, 60)

C3: x1 = 20x1 intercept: (20, 0)

The corner points for the feasible area are

:A (0, 0)B (0, 60)C (20, 40)D (30, 15)E (60, 0)

The optimal solution is x1 = 20 and x2 = 40..

Your question is incomplete but most probably your full question was:

Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning firm Maximize Z 1x,1x2 Subject to: 2x, 1x2 s60 (C1) x, X220 On the graph on right, constraints C, and C2 have been plotted 1x, +2x2 560(2)

a) Using the point drawing tool, plot all the comer points for the feasible area The optimum solution is x, = [20] (round your response to two decimal places)

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Answer:

0.75 lbs.

Step-by-step explanation:

16 = 1lb

1/16= 0.0625

0.0625 x 12 = 0.75

Hope this helped!!

Answer:

Step-by-step explanation:

In order to solve this question we use ratio and proportion

From the question

There are 16 ounces in a pound

If there are 16 ounces in a pound then

12 ounces will be

\( \frac{12 \times 1}{16} = \frac{12}{16} = \frac{3}{4} \\ \)

We have the final answer as

0.75 pounds

Hope this helps you

Answer:

The slope is -3 and the y-intercept is (0,2)  so the graph is at (0,2) and (1,-1).

Step-by-step explanation:

(7x+2)²

= (7x+2)(7x+2)

= 49x² +14x + 14x +4

= 49x² + 28x + 4

you need to plug the coordinates into the slope formula, which is m=(y2-y1)/(x2-x1).

m=(9-6)/(5-4)

m=(3)/(1)

m=3

Answer:

La opción correcta es;

x² - 4·x·y + 4·y²

Step-by-step explanation:

La ecuación dada es (x - 2·y) ²

(x - 2·y) ² = (x - 2·y) × (x - 2·y) = x·x + x × (-2·y) + (-2·y) × x + (-2·Y) × (-2·y)

Lo que da;

(x - 2·y) ² = x² - x × 2·y - 2·y × x + (-2·y) ²

De lo que tenemos;

(x - 2·y) ² = x² - 2·y × x - 2·y × x + 4·y² = x² - 4·y × x + 4·y²

∴ (x - 2·y) ² = x² - 4·y × x + 4·y² = x² - 4·x · y + 4·y²

Y el resultado del cuadrado simplificado es (x -  ·y) ² = x² - 4·y × x + 4·y² = x² - 4 · x · y + 4·y²

La opción correcta es (x - 2·y) ² = x² - 4·x · y + 4·y².

The probability that an athlete used steroids, given that they tested positive, is approximately 0.5025%.

In order to calculate the probability that an athlete used steroids given the information provided, we need to know the probability that they tested positive. To do this, we can use the formula for conditional probability:

P(A|B) = P(A and B) / P(B)

In this case, we are trying to find the probability that an athlete used steroids (A) given that they tested positive (B). We know that the probability of A is 1% and the probability of B is 0.5%, so we can calculate P(A and B) by multiplying these two probabilities together:

P(A and B) = 1% * 0.5% = 0.005%

Next, we need to calculate P(B), which is the probability that the athlete tested positive. Since we know the false positive rate and the true positive rate of the test, we can use these to calculate P(B) using the formula:

P(B) = P(A and B) + P(not A and B)

P(B) = P(A|B) * P(B) + P(not A|B) * P(B)

P(B) = 0.99 * 0.005% + 0.005 * (1 - 0.005%)

P(B) = 0.00495% + 0.005 * 0.999

P(B) = 0.0099495%

Now that we have P(A and B) and P(B), we can plug these values into the formula for conditional probability to calculate the probability that an athlete used steroids, given that they tested positive:

P(A|B) = P(A and B) / P(B)

P(A|B) = 0.005% / 0.0099495%

P(A|B) = 0.5025%

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Answer: 1/5

Step-by-step explanation:

Let the amount of rainfall in the second half of the month be represented by x.

From the information given in the question, the equation formed will be:

3/10 + x = 1/2

x = 1/2 - 3/10

x = 5/10 - 3/10

x = 2/10

x = 1/5

Therefore, the answer is 1/5

Answer:

First it is adding 15 then it starts adding 3 then 1

Step-by-step explanation:

A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.

This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.

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15x=-42-19y

3x=-54-19y

Subtract both

Put in second

So

Answer:

1, -3

Step-by-step explanation:

Solve the system of linear equations:

-------------------------------------------------------------------------------------

Subtract the equations to eliminate y:

     15x = -42 - 19y

-      3x = -54 - 19y

    ----------------------

    12x = 12

⇒ x = 12 ÷ 12

⇒ x = 1

Now substitute the found value of x into one of the equations and solve for y:

⇒ 15x = -42 - 19y

⇒ 15(1) = -42 - 19y

⇒ 15 = -42 - 19y

⇒ 19y = -42 - 15

⇒ 19y = -57

⇒ y = -57 ÷ 19

⇒ y = -3

Therefore, x = 1 and y = -3

Answer: 5 \(\frac{9}{16}\) gallons

Step-by-step explanation:

   To find the total volume, we will add together all the paint values.

3/16 gallons + 1/4 gallons + 5 1/8 gallons = 5 9/16 gallons

3/16 gallons + 4/16 gallons + 5 2/16 gallons = 5 9/16 gallons

Answer:

8

Step-by-step explanation:

√4√256

= √4 · 16

= √64

= 8

Hello :)

The answer you are looking for is 8

To help you with other questions like this look up calculator and put the question in there and it will give you the answer or use photomath!

Photomath works great :)

i hope you have a beautiful day <3 much love

~hailey lee~

The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C

Given the data :

Person 1 :

Person 2 :

Person 3 :

Mean value = (Total sum ÷ Frequency)

Mean value = [(-2 + (-1) + 12) ÷ 12]

Mean value = - 9 ÷ 12 = - 0.75

Therefore, the mean value of the result is 0.75°C

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Answer:

Hey there!

The perimeter of the flower bed is \(2\sqrt{24} +2\sqrt{54}\) meters.

This can be simplified, however (shown below)

\(2\sqrt{4(6)}+2\sqrt{9(6)}\)

\(4\sqrt{6}+6\sqrt{6}\)

\(10\sqrt{6}\)

The perimeter is \(10\sqrt{6}\)

Let me know if this helps :)

Answer:

  (x, y) = (4 7/9, 1 2/3)

Step-by-step explanation:

You want to solve this system of equations using the elimination method.

First of all, take a look at the coefficients of the variables:

  x: 3 and 3. Subtracting one from the other will eliminate x

  y: 4 and -2. Adding twice the second to the first will eliminate y.

The easiest elimination is accomplished by subtracting the second equation from the first:

  (3x +4y) -(3x -2y) = (21) -(11)

  6y = 10 . . . . . . . . . . simplify

  y = 10/6 = 5/3 = 1 2/3 . . . . divide by the coefficient of y

Substitute for y to find x.

  3x +4(5/3) = 21

  x +20/9 = 7 . . . . . . divide by 3

  x = 7 -(2 2/9) = 4 7/9

The solution is (x, y) = (4 7/9, 1 2/3).

__

Additional comment

A graphing calculator confirms this solution.

The requried length of the arc MN is evaluated as 6π.

From the figure,
The area of the shaded sector is given as:

A = ∠NLM/360×πr²

27π= ∠NLM/360×π9²
∠NLM = 120

Now,

length MN = 120/360*2πr

                  = 1/3×2π×9
                  = 6π

Thus, the requried length of the arc MN is evaluated as 6π.

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Answer:

Yes b/c y = 12x

Step-by-step explanation:

y = 12x

Answer:

V≈743.25

Step-by-step explanation:

V=5

12tan(54°)ha2=5

12·tan(54°)·4·182≈743.24624

Answer:

Inverse g(x) = -x/3-6

Step-by-step explanation:

To understand this just think g(x) as y so

we got y= -3(x+6) after that we change the minus three to left

so we got -y/3 because -3 is multiply. After that plus 6 came and become minus 6.

After all,you have to replace x in y place.

y = -3(x +6)

-y/3 = x +6

-y/3 -6 = x

-x/3 -6 = g(x)

Answer:

Amount in account after one year = £241.5

Step-by-step explanation:

Given:

Amount deposit into bank = £230

Rate of yearly interest = 5% Simple interest per year

Number of year = 1 year

Find:

Amount in account after one year

Computation:

Simple interest = Amount deposit x Rate of yearly interest x Number of year

Simple interest = 230 x 5% x 1

Simple interest = 230 x 0.05

Simple interest = £11.5

Amount in account after one year = Amount deposit into bank + Simple interest

Amount in account after one year = 230 + 11.5

Amount in account after one year = £241.5

Answer:  123.3364311 degrees approximately

Round that value however your teacher instructs.

==========================================================

Explanation:

Use the law of cosines to find side b

\(b^2 = a^2 + c^2 - 2*a*c*\cos(B)\\\\b^2 = 43^2 + 19^2 - 2*43*19*\cos(35)\\\\b^2 \approx 871.5055596\\\\b \approx \sqrt{871.5055596}\\\\b \approx 29.521273\\\\\)

Now use the law of sines to find angle A.

\(\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\\\\\frac{\sin(A)}{43} \approx \frac{\sin(35)}{29.521273}\\\\\sin(A)\approx 43*\frac{\sin(35)}{29.521273}\\\\\sin(A) \approx 0.8354581\\\\A \approx \sin^{-1}(0.8354581) \text{ or } A \approx 180-\sin^{-1}(0.8354581)\\\\A \approx 56.6635689^{\circ} \text{ or } A \approx 123.3364311^{\circ}\\\\\)

Due to the side angle side (SAS) congruence theorem, we know that only one triangle is possible (notice angle B is between sides 'a' and c). This means only one of those values for angle A is possible.

The question is: Which one?

Well if you were to use the converse of the pythagorean theorem, then you'll find that the triangle is obtuse.

For any obtuse triangle, the longest side is always opposite the obtuse angle (aka the angle over 90 degrees). The side a = 43 is the longest side of this particular triangle.

This means angle A must be obtuse and the only possibility is that angle A = 123.3364311 degrees approximately.

Answer:

origin is the beggining of something now gimme brainliest

Answer: the origin is the point on the graph where the x-axis and y-axis meet, in other words, the point (0,0)

Step-by-step explanation:

Solution:

Simplify the distributive property and solve.

The solution to the equation is 15.

Your required solution :

Let us solve this equation..!!

Firstly multiplying 2 by (x - 2)

⇒ 2 × (x - 2) = 26

⇒ 2x - 4 = 26

On transposing -4 to R.H.S. it would be positive,

⇒ 2x = 26 + 4

⇒ 2x = 30

On dividing 30 by 2 we gets,

⇒ x = 30/2

⇒ x = 15

Therefore, value of x is 15.